REAL

Exact additive complements

Ruzsa, Z. Imre (2017) Exact additive complements. QUARTERLY JOURNAL OF MATHEMATICS, 68 (1). pp. 227-235. ISSN 0033-5606

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Abstract

Let A, B be sets of positive integers such that A + B contains all but finitely many positive integers. Sárközy and Szemerédi proved that if A(x)B(x)/x → 1, then A(x)B(x) - x → ∞. Chen and Fang considerably improved Sárközy and Szemerédi's bound. We further improve their estimate and show by an example that our result is nearly best possible. © 2016. Published by Oxford University Press. All rights reserved.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 12 Feb 2018 02:43
Last Modified: 12 Feb 2018 02:43
URI: http://real.mtak.hu/id/eprint/74254

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